η-Einstein-Sasaki子流形和它们的谱

η-EINSTEIN SASAKIAN SUBMANIFOLDS AND THEIR SPECTRA

本文证明了Ｓａｓａｋｉ空间形式中具有η－平形第二基本形式的η－Ｅｉｎｓｔｅｉｎ－Ｓａｓａｋｉ子流形在某些假定下由它的谱所决定；

In this paper, we verify that an η Einstein Sasakian submanifold with the η parallel second fundamental form in a Sasakian space form is determined by its spectrum under some assumptions; and give the spectral characterization of the circle bundle over the complex quadric.